Understanding Direct Proportions

What does the formula y = KX represent in the context of direct proportions?

• A direct proportion where y varies directly with X.

• A linear relationship where y and X are constants.

• A quadratic relationship between y and X.

• An inverse proportion where y is inversely related to X.

In the equation a = K * sqrt(H), what does the variable K represent?

• The sum of a and H.

• The square root of H.

• A constant that remains the same for given conditions.

• A variable that changes with a and H.

How do you determine the value of K in the equation a = K * sqrt(H) when a and H are known?

• By multiplying a and H.

• By adding a and H.

• By subtracting H from a.

• By dividing a by the square root of H.

What is the simplified form of K when a = 10 and H = 225?

• 3/2

• 2/3

• 1/3

• 1/2

What is the final relationship between a and H in the given problem?

• a is equal to H squared.

• a is equal to 2/3 of the square root of H.

• a is equal to the square root of H.

• a is equal to 3/2 of H.